幂律流体温度边界层定性分析和数值模拟

QUALITATIVE ANALYSIS AND NUMERICAL STUDY OF THERMAL BOUNDARY LAYER IN POWER LAW FLUIDS

本文研究具有连续移动延伸表面的幂律流体边界层的流动和传热问题,建立了一种新的热扩散系数数学模型,定性地分析了温度边界层厚度的分布规律.数值求解得出温度场的分布,并进一步分析了物性参数和运行参数对无量纲温度分布的影响规律,结果表明:温度边界层的分布不仅和幂律指数及普朗特数有关,而且和平板速度比例参数有关。

This paper studied flow and heat transfer of the boundary layer flow on a continuous moving surface in power law fluids. A new mathematical model of the thermal diffusivity was set up. The regularities of distribution of the thermal boundary layer thickness were obtained by means of the qualitative analysis. The temperature distribution was obtained numerically and the characteristics of the flow and heat transfer were analyzed further. The results show that the distribution of the thermal boundary layer depends not only on the power law index and Prandtl number of fluids, but also on the velocity ratio parameter of the plate.